Finding the Third Proportional to 11,166 and 13,518

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166 : 13,518 = 13,518 : x
2. Step 2: Convert to fraction form
   11,166/13,518 = 13,518/x
3. Step 3: Cross multiply
   11,166x = 13,518 × 13,518
4. Step 4: Simplify right side
   11,166x = 182,736,324
5. Step 5: Solve for x
   x = 182,736,324/11,166
6. Step 6: Final answer
   x = 16,365.42